algebra 1 resolution

Question

List the solutions to the quadratic function below.

 0=x2+18x+71 

** Separate your solution values with a comma. For example, x=2,3  or x= 6+√32,6-√32 ** Use MathQuill if you need to **

Answer 1

Just use the quadratic formula:

for a*x² + b*x + c = 0

use x = (-b ± √(b² - 4a*c))/(2*a)

therefore x = (-18 ± √(18² - 4*1*71))/(2*1) = -9 ± √(324 - 284)/2 = -9 ± √(40)/2 = -9 + √10, -9 - √10